Question
A boat travels 180 km downstream and 120 km upstream in
12 hours. If the ratio of the speed of the boat in still water to the speed of the stream is 5:1, then find the speed of the boat in downstream.Solution
Let speed of stream = 'x' km/h Then speed of boat in still water = 5x km/h ATP, (180/6x) + (120/4x) = 12 (30/x) + (30/x) = 12 {(30 + 30) /x} = 12 (60/x) = 12 x = 5 therefore, downstream speed of the boat = 6x = 6 X 5 = 30 km/h
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